5.5/12 = x/60
One hour/ 12 minutes = 5
5.5•5=27.5
Caribe reads 27.5 pages per hour.
Let x be the number of movies purchased. If each movie you purchase costs $3.50 dollars, this means that the total cost of x movies in one month is $3.50x
In addition, you have to pay $40 for satellite TV. We can now find an equation to find the total cost per month:
40 + 3.50x
Now, by hypothesis, you paid $57.50 during a month as a total bill.
Which means that 40 + 3.50x = 57.50
We need to find the number of movies purchased during that month, or, in mathematical words, we need to solve for x.
40 + 3.50x = 57.50
First, let's put the variables apart and the numbers apart by subtraction 40 from each side, so we get:
40 - 40 + 3.50x = 57.50 - 40
3.50x = 17.50
Now divide both sides by 3.50
(3.50x)/(3.50) = 17.50 / 3.50
x = 5
So, during that month, you purchased 5 movies.
Hope this helps! :)
Answer: The multiplication property of equality is used to transform the equation from the first step to the second step.
Explanation:
The multiplication property states that if any number is multiplied both side of a equation the equation doesn't change.
If x = y and we multiply both side by m, then xm = ym is equivalent to x = y.
The given expression is,
Use multiplication property of equality, multiply 5 both sides,
Therefore, the multiplication property of equality is used to transform the equation from the first step to the second step.
Answer:
That's all you're doing is writing the equation for two lines and finding out where they intersect. The slope is how much the price is increasing or decreasing and the y-intercept is where the price is starting at.
x = number of hours
y = mx + b = 0.12(x + 3) + 15.21 {It's (x + 3) because we have to add the 3 hours between 9 and noon}
y = mx + b = -0.11x + 15.96 {The slope is negative because the price is decreasing}
Set them equal to each other
0.12(x+3) + 15.21 = -0.11x + 15.96
Now solve for x
0.12x + 0.36 + 15.21 = -0.11x + 15.96
0.12x + 15.57 = -0.11x + 15.96
0.12x + 0.11x = 15.96 - 15.57
0.23x = 0.39
x = 0.38 / 0.23 = 1.7 hours
Convert 0.7 into minutes
0.7 hours * (60 min / 1 hour) = 42 min
So the prices are the same 1 hour and 42 min after noon, which is 1:42 PM
Step-by-step explanation:
The equation a line that has a slope of -4 and goes through point (1,-5) in slope intercept form is y = -4x - 1
<h3><u>Solution:</u></h3>
Given that line that has a slope of -4 and goes through point (1,-5)
We have to write the equation of line
<em><u>The slope intercept form is given as:</u></em>
y = mx + c ------- eqn 1
where "m" is the slope of line and "c" is the y - intercept
Substitute slope "m" = -4 and (x, y) = (1, -5) in eqn 1
-5 = -4(1) + c
-5 = -4 + c
c = -5 + 4 = -1
<h3>c = -1</h3>
<em><u>Substitute c = -1 and m = -4 in eqn 1</u></em>
y = -4x - 1
Thus the required equation of line is found
